code: def scale_laf(
      laf: Tensor, scale_coef: Union[float, Tensor]
  ) -> Tensor:
      """Multiplies region part of LAF ([:, :, :2, :2]) by a scale_coefficient.
  
      So the center, shape and orientation of the local feature stays the same, but the region area changes.
  
      Args:
          LAF :math:`(B, N, 2, 3)`
          scale_coef: broadcastable tensor or float.
  
      Returns:
          LAF :math:`(B, N, 2, 3)`
  
      Example:
          >>> input = torch.ones(1, 5, 2, 3)  # BxNx2x3
          >>> scale = 0.5
          >>> output = scale_laf(input, scale)  # BxNx2x3
      """
      if not isinstance(scale_coef, (float, Tensor)):
          raise TypeError(
              f"scale_coef should be float or Tensor. Got {type(scale_coef)}"
          )
      KORNIA_CHECK_LAF(laf)
      centerless_laf = laf[:, :, :2, :2]
      return concatenate(
          [scale_coef * centerless_laf, laf[:, :, :, 2:]], dim=3
      )
  
imports: import math
  from typing import List, Optional, Tuple, Union
  import torch
  import torch.nn.functional
  from kornia.core import Tensor, concatenate, cos, sin, stack, tensor, zeros
  from kornia.core.check import KORNIA_CHECK_LAF, KORNIA_CHECK_SHAPE
  from kornia.geometry.conversions import angle_to_rotation_matrix, convert_points_from_homogeneous, rad2deg
  from kornia.geometry.linalg import transform_points
  from kornia.geometry.transform import pyrdown
label_desc: Use image node_id 7 for calling a global function with example usage: scale_laf(laf, scale_coef) and returns: concatenate